Calculus approximation problem e - 0.1 power approximation. To the process, thank you

Calculus approximation problem e - 0.1 power approximation. To the process, thank you

f(x) f(0) + f'(0)x
f(x)=e^x,f'(x)=e^x
We get e ^ (- 0,1) = e ^ (0) + e ^ (0) * (- 0.1) = 1-0.1 = 0.9